{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set_style('whitegrid')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "default = pd.read_csv('../data/credit_card_default.csv')\n",
    "default.rename(columns=lambda x: x.lower(), inplace=True)\n",
    "default.rename(columns={'pay_0':'pay_1','default payment next month':'default'}, inplace=True)\n",
    "\n",
    "default['male'] = (default['sex']==1).astype('int')\n",
    "default.drop('sex', axis=1, inplace=True)\n",
    "\n",
    "default['married'] = (default['marriage'] == 1).astype('int')\n",
    "default.drop('marriage', axis=1, inplace=True)\n",
    "\n",
    "# For pay_n features if >0 then it means the customer was delayed on that month\n",
    "pay_features = ['pay_' + str(i) for i in range(1,7)]\n",
    "for p in pay_features:\n",
    "    default[p] = (default[p] > 0).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def transform_education(x):\n",
    "    if x==1: # 1==graduate school, give it a 2\n",
    "        return 2\n",
    "    elif x==2: # 2==university, give it a 1\n",
    "        return 1\n",
    "    else:\n",
    "        return -1 # give a negative value to all other levels of education\n",
    "    \n",
    "default['education'] = default['education'].apply(transform_education)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>male</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>married</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.197345</td>\n",
       "      <td>0.227979</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.219625</td>\n",
       "      <td>0.259345</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "male            0         1\n",
       "married                    \n",
       "0        0.197345  0.227979\n",
       "1        0.219625  0.259345"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "default.groupby(['married','male'])['default'].mean().unstack()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(1,7):\n",
    "    i = str(i)\n",
    "    new_var_name = 'bill_minus_pay' + i\n",
    "    default[new_var_name] = default['bill_amt'+i] - default['pay_amt'+i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bill_minus_pay_features = ['bill_minus_pay'+str(i) for i in range(1,7)]\n",
    "default[bill_minus_pay_features].hist(figsize=(11,5), layout=(2,3), bins=30);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "bill_amt_features = ['bill_amt'+str(i) for i in range(1,7)]\n",
    "bill_amt_pca = PCA(n_components=1)\n",
    "default['bill_amt_new_feat'] = bill_amt_pca.fit_transform(default[bill_amt_features])[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.62640566, 0.15478995, 0.10049793, 0.07279835, 0.04550811])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pay_features = ['pay_'+str(i) for i in range(2,7)]\n",
    "pay_features_pca = PCA().fit(default[pay_features])\n",
    "pay_features_pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "pay_features_pca = PCA(n_components=2).fit_transform(default[pay_features])\n",
    "default['new_pay1'] = pay_features_pca[:,0]\n",
    "default['new_pay2'] = pay_features_pca[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing data\n",
    "data_path= '../data/diamonds.csv'\n",
    "diamonds = pd.read_csv(data_path)\n",
    "diamonds = pd.concat([diamonds, pd.get_dummies(diamonds['cut'], prefix='cut', drop_first=True)],axis=1)\n",
    "diamonds = pd.concat([diamonds, pd.get_dummies(diamonds['color'], prefix='color', drop_first=True)],axis=1)\n",
    "diamonds = pd.concat([diamonds, pd.get_dummies(diamonds['clarity'], prefix='clarity', drop_first=True)],axis=1)\n",
    "diamonds.drop(['cut','color','clarity'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>carat</th>\n",
       "      <th>depth</th>\n",
       "      <th>table</th>\n",
       "      <th>price</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "      <th>cut_Good</th>\n",
       "      <th>cut_Ideal</th>\n",
       "      <th>cut_Premium</th>\n",
       "      <th>...</th>\n",
       "      <th>color_H</th>\n",
       "      <th>color_I</th>\n",
       "      <th>color_J</th>\n",
       "      <th>clarity_IF</th>\n",
       "      <th>clarity_SI1</th>\n",
       "      <th>clarity_SI2</th>\n",
       "      <th>clarity_VS1</th>\n",
       "      <th>clarity_VS2</th>\n",
       "      <th>clarity_VVS1</th>\n",
       "      <th>clarity_VVS2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.23</td>\n",
       "      <td>61.5</td>\n",
       "      <td>55.0</td>\n",
       "      <td>326</td>\n",
       "      <td>3.95</td>\n",
       "      <td>3.98</td>\n",
       "      <td>2.43</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.21</td>\n",
       "      <td>59.8</td>\n",
       "      <td>61.0</td>\n",
       "      <td>326</td>\n",
       "      <td>3.89</td>\n",
       "      <td>3.84</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.23</td>\n",
       "      <td>56.9</td>\n",
       "      <td>65.0</td>\n",
       "      <td>327</td>\n",
       "      <td>4.05</td>\n",
       "      <td>4.07</td>\n",
       "      <td>2.31</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.29</td>\n",
       "      <td>62.4</td>\n",
       "      <td>58.0</td>\n",
       "      <td>334</td>\n",
       "      <td>4.20</td>\n",
       "      <td>4.23</td>\n",
       "      <td>2.63</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.31</td>\n",
       "      <td>63.3</td>\n",
       "      <td>58.0</td>\n",
       "      <td>335</td>\n",
       "      <td>4.34</td>\n",
       "      <td>4.35</td>\n",
       "      <td>2.75</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   carat  depth  table  price     x     y     z  cut_Good  cut_Ideal  \\\n",
       "0   0.23   61.5   55.0    326  3.95  3.98  2.43         0          1   \n",
       "1   0.21   59.8   61.0    326  3.89  3.84  2.31         0          0   \n",
       "2   0.23   56.9   65.0    327  4.05  4.07  2.31         1          0   \n",
       "3   0.29   62.4   58.0    334  4.20  4.23  2.63         0          0   \n",
       "4   0.31   63.3   58.0    335  4.34  4.35  2.75         1          0   \n",
       "\n",
       "   cut_Premium      ...       color_H  color_I  color_J  clarity_IF  \\\n",
       "0            0      ...             0        0        0           0   \n",
       "1            1      ...             0        0        0           0   \n",
       "2            0      ...             0        0        0           0   \n",
       "3            1      ...             0        1        0           0   \n",
       "4            0      ...             0        0        1           0   \n",
       "\n",
       "   clarity_SI1  clarity_SI2  clarity_VS1  clarity_VS2  clarity_VVS1  \\\n",
       "0            0            1            0            0             0   \n",
       "1            1            0            0            0             0   \n",
       "2            0            0            1            0             0   \n",
       "3            0            0            0            1             0   \n",
       "4            0            1            0            0             0   \n",
       "\n",
       "   clarity_VVS2  \n",
       "0             0  \n",
       "1             0  \n",
       "2             0  \n",
       "3             0  \n",
       "4             0  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamonds.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(diamonds[['x','y','z','price']], plot_kws={'s':2});"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "diamonds['volume'] = diamonds['x']*diamonds['y']*diamonds['z']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "diamonds['density'] = diamonds['carat']/diamonds['volume']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamonds[diamonds['volume']<600].plot.scatter(x='volume', y='price', s=1, alpha=0.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,5))\n",
    "diamonds.plot.scatter(x='density', y='price', s=2, alpha=0.1, ax=ax)\n",
    "ax.set_xlim(0,0.015);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>price</th>\n",
       "      <th>carat</th>\n",
       "      <th>volume</th>\n",
       "      <th>density</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>price</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.921591</td>\n",
       "      <td>0.902385</td>\n",
       "      <td>0.143440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>carat</th>\n",
       "      <td>0.921591</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.976308</td>\n",
       "      <td>0.206805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>volume</th>\n",
       "      <td>0.902385</td>\n",
       "      <td>0.976308</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.128187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>density</th>\n",
       "      <td>0.143440</td>\n",
       "      <td>0.206805</td>\n",
       "      <td>0.128187</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            price     carat    volume   density\n",
       "price    1.000000  0.921591  0.902385  0.143440\n",
       "carat    0.921591  1.000000  0.976308  0.206805\n",
       "volume   0.902385  0.976308  1.000000  0.128187\n",
       "density  0.143440  0.206805  0.128187  1.000000"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamonds[['price','carat','volume','density']].corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
